{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from sklearn import datasets\n",
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]  # we only take the first two features.\n",
    "y = iris.target\n",
    "\n",
    "x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n",
    "y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n",
    "\n",
    "plt.figure(2, figsize=(8, 6))\n",
    "plt.clf()\n",
    "\n",
    "# Plot the training points\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Set1,\n",
    "            edgecolor='k')\n",
    "plt.xlabel('Sepal length')\n",
    "plt.ylabel('Sepal width')\n",
    "\n",
    "plt.xlim(x_min, x_max)\n",
    "plt.ylim(y_min, y_max)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "\n",
    "# To getter a better understanding of interaction of the dimensions\n",
    "# plot the first three PCA dimensions\n",
    "fig = plt.figure(1, figsize=(8, 6))\n",
    "ax = Axes3D(fig, elev=-150, azim=110)\n",
    "X_reduced = PCA(n_components=3).fit_transform(iris.data)\n",
    "ax.scatter(X_reduced[:, 0], X_reduced[:, 1], X_reduced[:, 2], c=y,\n",
    "           cmap=plt.cm.Set1, edgecolor='k', s=40)\n",
    "ax.set_title(\"First three PCA directions\")\n",
    "ax.set_xlabel(\"1st eigenvector\")\n",
    "ax.w_xaxis.set_ticklabels([])\n",
    "ax.set_ylabel(\"2nd eigenvector\")\n",
    "ax.w_yaxis.set_ticklabels([])\n",
    "ax.set_zlabel(\"3rd eigenvector\")\n",
    "ax.w_zaxis.set_ticklabels([])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# KNN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.neighbors import KNeighborsClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = datasets.load_iris()\n",
    "x=iris.data\n",
    "y=iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train,x_test,y_train,y_test=train_test_split(x,y,test_size=0.3)#分割成训练集和测试集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0, 1, 2}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "set(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn=KNeighborsClassifier(3)\n",
    "knn.fit(x_train,y_train)\n",
    "y_pre=knn.predict(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9777777777777777"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(y_pre==y_test).sum()/len(y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "scores=knn.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Decision Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_boston\n",
    "from sklearn import tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "boston=load_boston()\n",
    "x=boston.data\n",
    "y=boston.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train,x_test,y_train,y_test=train_test_split(x,y,test_size=0.15)#分割成训练集和测试集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "clf=tree.DecisionTreeRegressor()\n",
    "clf.fit(x_train,y_train)\n",
    "pre=clf.predict(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6869654338670174"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.score(x_test,y_test)  #回归的score计算的是coefficient of determination，1>0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Naive_bayes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.naive_bayes import GaussianNB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = datasets.load_iris()\n",
    "x=iris.data\n",
    "y=iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train,x_test,y_train,y_test=train_test_split(x,y,test_size=0.15)#分割成训练集和测试集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0,\n",
       "       0])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf=GaussianNB()\n",
    "clf.fit(x_train,y_train)\n",
    "clf.predict(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9565217391304348"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris = datasets.load_iris()\n",
    "x=iris.data\n",
    "y=iris.target\n",
    "x_train,x_test,y_train,y_test=train_test_split(x,y,test_size=0.15)#分割成训练集和测试集\n",
    "clf=LogisticRegression()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\sysu\\anaconda\\anacondaa\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n",
      "D:\\sysu\\anaconda\\anacondaa\\lib\\site-packages\\sklearn\\linear_model\\logistic.py:469: FutureWarning: Default multi_class will be changed to 'auto' in 0.22. Specify the multi_class option to silence this warning.\n",
      "  \"this warning.\", FutureWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf.fit(x_train,y_train)\n",
    "pre=clf.predict(x_test)\n",
    "clf.score(x_test,y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import metrics\n",
    "from sklearn.datasets.samples_generator import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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druHU+E48v3dz6Oy8YpVxz8d+I7MgbtOcUzh8+mr7ZuQuG9S1H2A5fnYwkBOygOlAL85B3zMPbkStWoHA3I+kLNKWMfZsqeH//DwfbYv8ar6dN7gkZCkSHQZyQhbQ6dtxD/rs7PzKxG48+9Am7frPPrQJVyZ249T4Tpy8dM03gOYF5w0ubNMwkizUyAlZoNe+5yDrF8W+6L7BsRw/WxjICXHQa9+z3/pFsC/WNDcgluNnC6UVQnJE3u2LdudC982oF7IUCQ4zckJyhNu+6LT9Aa0WuFCt/idp4xWYWY6fLYn1Iw8D+5GTpUrYylHd9wPhfOqPbBuKPcRCJ6eQ9DH1I2cgJ4uWuOX2vdiPrhvgMw9ujLSvtePHfB0uJQBf37vZGPjLIr7zNgf6LfQv68vN+7iUMQVyauRkUaLzNT925ByG//j1zLzNSVv0ghwkzi+8rknD3rd1TUuuMWCVBR98OEt/eM5hICeLElM72eszzcwCUdIWvbFd62CVzEHYub5dnFStWO3Pr7AW/vkbEvJatYKVy/q69Hj6w/MHAzkpDGFKwL2CY1aBqBeVo4e+uKkjOPutf3P2dvH/9ZkmDp++qj04td0p7xtG0tEfni8YyEkhCFsC7hccswhEvaocPbf/s/jlxG5tbxfn+rqnFJM6br8/Sd98SG+g/ZDkEvdB5Y2bs6E6E+rGjDnJIhBlXTka5uZlvz8c11YMGMhJZphcJZNTdYy9fL79yO9ls3N/zblmtd8CoNBodvYSjBOI4jphsqwcNVVfur3qzveH/vBiQPshyQQvK97Tr17EtEGbNVGtWLh/08dw9Gy9a809W2o4eelae7r9nFKRfNFJ2wfTxrR/+/1hoM4/9JGTXLF94kRkX3NY7KAdNwib9mwfDBaBvHnrSTgYyEnmOINI2n/rah7NqEoCfGnrEEbuWtUunNFl7qYCHAFwZWJ3T/dPCGAO5NTISWiiZHW6x/qwuLXcMHjp7PMKePH01Y4ydvupwDnWjB3+SF6h/ZCEIuokGFOBThhWWKVMOgPa7hh2+CN5hYGchCJqmXkSvu2W+0Rh5bL0g7mzOtIe3WZPmKfGTLKG0goJRdQy8zADE7wklEZzHlZJsKwsuDWXntJuyye9tg8SEgVm5CQUUSv9gg5MEAH6fP5WNucVVi5PLwehfELyDgM5CUVUndgpS3ihFOCq39EyPdPEI9uG4N8yKh6UT0gRoP2QhCauFzlIH20/qhULIq3GT72mLIJ9W9fg4OjGnr8WIV7QfkgSI65OfGfFCl256Sbuz4dhTim8ePoqrlz7AL/8hwaLaUjuYCAnPWNyqo4Dr11sZ812Gf2NW7MZ7ywap37+XvvPTn85gznJGmrkpCdMTtUx9u3zHdLHdKOJF09fRTNFt0kv4YAFkhcYyElPOHT88qIJ2F5wwALJA5RWSGi82s9m1UslK1ieT/IAAzkJhbtniq0Vn3nrva4Wsosd+stJXkgkkIvIfQD+FEAZwP9USk0ksS7xJ+22pKYS/ZfeeDvx9rN5Jko/c0J6RexALiJlAH8G4N8CeAfAj0XkVaXU38Zdu8j0OsBOTtW7BjCk4aQwacJLKYgL4Nl/nD2/Sdokcdh5L4CfKaV+oZS6BeAvAXwhgXULS9QOgWHX13mpe+2kMGnCZdHXWNaqFfxyYnfPKzDTxEsX7/XvnhAdSQTyGoC3HR+/s/C5DkTkURE5IyJnrl27lsDL5peoHQLjrO+kl04KU4n+vq1rPEv3F8uhoFUST1281797QnQkEch1yVbXc7ZS6gWl1IhSamRwcDCBl80vUTsEejE5Vcf2iRNYO37Mt4tgL4Omu5XrQL+F5X0lHD59FSusUqt0Ht09SoI2zco7d6zo85RJevG7J8SPJA473wGwxvHxxwG8m8C6hSXpSTJhputEcVKE1XTtEn33vq7PNFGxynhu7+aun3dPY6/2W6n0SUka957d753puhbLEwnJJ0kE8h8D+E0RWQugDuD3AHwpgXULi2nQb1SrWtDpOgP9FvY/sCHQ2DU7+NxZsXDj1my7eCfMgamXjKD7WWePls0HXve9njziPAvQWTGtksAqS0cxFG2KpNfEDuRKqVkR+SMAx9GyH35TKXUx9s4KjDv7jOtc8HosFyDU+u7g43Vg6rdeHBkhzaZXSeJ05+huZM15hWrFwsrlfXStkNRIxEeulPougO8msdZiIclJMiapZqDfwtTXPhtqraDZfZBgvBSHETv7qZveo/cbTZzbH+73Qkgc2Gsl50xO1XHjpr5b4Acfzoa2tQU9dAsSjOMMIx7otwLtI0+4r830Ht1ZKd61kWLDEv0c43fI2ZxXgSQQJ0FmZwYNxqPDNZx56712VWdZBHu21Lr6rqyuVrBj/SBOXrrW/nj3pz+Gl370Nubmi1NI5J4UNLZrHcZePo+m6xpu3GrdYCmnkLRgRp5jgsggYW1tuizaKgkG+vW2QS8mp+o4erbe1o3tAQz3fPV7GPv2+Y6imBdPX+34+OjZOvbduwaGOqJUEAG2f2JVoGIlke7D39HhGu5Y0Z0LNecUfeMkVZiR55igOnUYkjyINd1oZgIM3bT7s2RV2V+xynjmwY04dPxyoE6NSgGfePK7mFOqo8/KtMFCSd84SRMG8owI4t32k0Gi2tp0B7FR+oPEDVZp92cR3K5UW2G1HkbDXIO9X6dFcyke+JL8QWklA4L249DJILYMEHW6u7NCdPvECUxO1SP3BylSsLJKgr7ybRHl+kwTT75yIfLBpG3RjHPgS0hSiMrg2XZkZESdOXMm9dfNC9snTmizuFq10tVVL8lOerrDUwFQsUpaOaQsgmcf2mR8vTAVp1lSFsHyPtFe40C/hQ+b85GvoaY5yKVvnPQKETmrlBpxf57SSgaEKaRJ0o+u07QVzJr2nFKeVZ62a+XF01cDvb4IMtHE55TCTFP/wtdnmq1gPjsXaW/2wW2UpyNCkoLSSgaYJAk/qUIni4Qhiqbt17nv5KVgnSytkqCvlM9mttdnmuiTVml9FNjdkGQNA3kGRNFVk+hzHVXT9roBeH3N7pBYq1Zwx4q+XA9jbs4rrFzW195ztWK1i5bs/iqmnusAXSokWxjIM8DZChZoBQg7qzMFZlODqseOnAucnY/tWmf0TA/0W8ZA5XUD8Bo0MbZrHa5M7Map8Z1Gm54d6NNgoN/yfK33G02cGt+J5/ZuxsrlfZieaaJWreDZhzbhlxO78fNnPmf8+SId/JLFBwN5BtgHmPXpBgTdtjZdUPbK+IJm56PDNTy8bagrmFesMvY/sAHPPrQp9JOCqc+4ra/be/KSk8L2Kq9Y5dCFRPY1nhrfaQzGd1Ys3ycfulRIHmEgD0lcndoZKIDuCRxuvdV+PT9RwqTTuvc7ctcqPLd3c4fsYR/UuYdGBLE42j+jy+ade/IKgLrXfWTbUMfwCvfAioe3Dmn3s/0TqzqedKC5jrFd62Bp9Pobt2bx9KsXPSf8RHmPCOk1tB+GQGe3sysEg/5DNlkPnQiAKxO7I9n7fjmxu73XA69d7BpyEHa/Nk4bZLXfglItKcLOqB8/ck57s7Gvxb1GEja9pyYvtPu8iACVvhIazfn22oC5gnX4j18PNdjCeR2EZAXthwkQdpCCjjBl90FbztrYGajXDSDsfnXrOQOgLT0EmYyTpJUSAA6ObsTB0Y3t/c04BjyMvXweEBgHZpg0exPUwEmeobQSgiTmMfoFBKfeGtYJYWvtSQ9n9luv0Wx5sHVVqPXpRiQJKu7+mvOqyyXjlEhMv4eBfosaOCkcDOQhiOr/duJXdr9nSw2Hjl/G2vFjKBlO9EzuElsb9gvUYbNLPykIaE382bOl1t6Ds6+JnQ0/NXkh9vmC7ueD7M/Gfm9Mmv3+BzZQAyeFg9JKCKLM4tTpwnbXPbd265YwdE2lKlYZe7bUcPRs3bgPr2ZbFauMHesHsX3iRCCtenKq3hGUvbArHG1HjpNGcw6HT1/tCu6A/2xQex/u+ZhPvnIBZ956L/D+gNs3Mb8ukAzcpEjwsDMkpoEJ9ekGyiIdbU4BhDoc9TsILYtg39Y1bV3YDphBXhdoFbncv+ljXTcBqyS4Y0XLN+0OaEEOZ53UAgyucH+/u7+MDtM+7GvXoRuCzOyaFBnTYScDeQy8DhUFQF8J0LUxsYOX+6YQJADa2afdrEmXmT/z4EYA+mwzSGB2Bry148cCZ7v2/koewVX3/UHcIGH3AQDP792cqEuGkKyha6UHeB0CKuiDONDSaXVSQRCc0oRTqrCxqz1rhsAV5KDT6WwJeoOxCfv9JRGsHT/mG2hN65oy8lq1krhLhpC8wsPOGETtr7G6WgltLdThlaGaqj2DHnTWF242YaoubZ3eVDmpO6KdU6qrglJ3qGk6nNy3dQ1dJmTJs+gDedxKTC+ieotnbs2Gylqj4rTb2e+D3RYgCPZhpLMvjAmnu8MUdB92VGuaKkGffvWitkTeuQ+nm+Tg6Ea6TMiSZ1Fr5ElUYjrXcuutgP5QMU8IgOf2btYOlAjym3ceRiY5ECOs5h30UJSQxYxJI1/UGblXJWYYTI2UgGDZapaYZBwF77asNk75KEzDqNHhGk6N72x3P9TNIw0D28QSYmZRB/IkKjEB/9L8U+M78fzezV2NmEpAu6d1GrgHI9hB1nS9QZwl7hL7pGQMr8Iov30QQjpZ1K6VpCacB7khHDp+Gc35zsA4j9Zos7De6qisXNaHlcv7uuQMXYFOEJwl9vZaSTlBnAU5tm5vuq3w8JIQbxZ1IE+qEjPIDcEU7KcbTW0RTi94v9HEuf2f7fq87n0IgtPq+NiRc3j5zFUc/o+/lcBOW9jB/IlvnTc+HbhtlEl3UCRkMbCoA7lfGbabyak6xl4+386s7S56e+9d41kSD3j7p09eutZRll/tt/D+TBMGm3lkqg4Zxx3w9myptStQo3Lq5+/hnq9+D3/y4KcBBH9fdftxHhabgrgAHQecpjJ9gCX1ZGmzqF0rYdl84HVMN7rbm1YrFp7+/AbPwPXU5AXjNHld9WLYfthBMVV8CoB/9YlV+Jur78d+MrBK0tEi1mag38L+BzZ0BVWTe2h5X0n7fjuvxRnIw7hmCFmMsLIzAKagMt1oemrDk1N1HD1r9qcroENnBhC6Hzbg3VfExlTxqdDKqJPAfRZgc32mqc2QTYfFXjcUnQSW1OE1IYuNRe1aSYsgVZruSssoLoyg/UuynFWvGwgdNtCWRbRumCTaCBOyGGEgd2CyCvpZCIMGKr8ZlosJ540r7BCHZx/apH364eBjQvQwkDvY/8CGLi+2VRbsf2CD9vuDDkZ2Ymu8bk92Wn7zkMPnY2HfuJIa4sDBx4ToiXXYKSJfBPA0gE8CuFcpFegEM6+HnUBwe1uUwchAK5Curla61jcdtCaJPZTiL964CoPM3UVSHvhqxYIItD3PCSHB6Ek/chH5JFp1L/8DwH9JM5Bn7ScOO3DBhB1cTY6XJLFKwB0r9EOSvRgwDFa2CXIIC3CwAyFx6UmvFaXUm0qpcI1LEsDU+6SXA37dJOWUsEegRWX7J1YF1tqb84hkefzQx13y7EOb8Pzezb77iNLnhhDiT2r2QxF5FMCjADA0NBRrLb/eJ0kTptozzPxIm6jPRFap21IYNDsOQ8M0IQPoyrAfO3LOcy2vG2DWT1mEFBXfQC4iPwDwUc2XvqKU+qugL6SUegHAC0BLWgm8QwfOOZU6omTJfsHDVE1oGoCclkwC6CcQ/fPBfvzi2kziwVyH3fXROcjZT4YxOVhYtUlIdHwDuVLqM2lsxI8gh4th/cRBgocp+3eW3dsDkO3PlwSBDxOjZPBe/L9f30hwtdtYJekoBKpYZexYP9j1/lkl6Rp67PwZk1Uw7acsQhYThbEf+hXdRPETB+lX7lVN6JyGY2fA9elGoCBu2+ce3hZPZoqDVRZUrIB/BWTBeYLbtr+Tl651vX/NeYVZRxC3W577WQVZtUlIdGJp5CLyOwD+K4BBAMdE5JxSalciO3Ph9Q/aNGg46prOz/t1Powye7Msgp8/87n2x0d+dNU4qDlJbNeKbQHcsX4wcCOt5pzCyuV9Hd0VHzfo4c772Iq+YE6VpFoOE7IUiRXIlVLfAfCdhPbiiekfegn62WwAAAt8SURBVJyGSUGCh18r3CgZ45xSHbry3nuH8BenrybeDdGmLNJVLRnFB+9+r7w6PtoElUeitBwmhLQojLTSi/LsIGs6qwkBtLXwQ8cve5afC27LCrqvOa2TR8/W8aWFwcS9QFfyHvVJwknQNgNBbnZ5qdrs5bBuQnpFodrY9sKeFqeS03aphBkaYTrctJ8swg4l9qNasdpyiPNao76G16CHksH6aP9M3q2FSQ7rJqQX9KSyMyp5LtE34dULe2zXOs8pNzbVimUsw7d7lidVMWrzyLYhHBzdiMmpOp54+TzmgtppPDAFtzA3uzwGSPY7J3mnJ5WdSwk/98p8gBviyuV9RvlEBFg7fgw3bs6iXEqutdXJS9cAAF8++pNEgjigb1Vrs7zv9l+pgX7L6G7JY5UnnTOkqHCwRED8DkaDHPy9O93Ac3s3Y+zb57t81naMnW40YZUEK5aVceNW/Bmf7043MDlVx83Z5I9Snb57AF3Z+IcLVhyvAJmnak46Z0hRYUYeEL+D0SAHf6urFYwO17Bymff9szmvUO1fFqh/iR+rq5WeZr52Zu3lyTcFwmq/lXnPHCfsd06KCgO5B04Hw6Hjl7FnS83oqnC7W3TiyPTMrcDtam3JxunkCItVFoztWtdzaeDd6YZn1m0KkEohV5JLXpwzhISlsNJKrx/JdeX7R8/WfQcfON0cT796sSNot6SSYHKJLosN2xBr5bI+jA7XPPvT2JQAlA2l9X7Ye/WSJVZYpfZ7aQ+zNhUUZalJe81mJSSvFDIjT6ONbZDyfS9Gh2tYuTzafdJ+nHdfpy6Ie2Xq7y/cRPxkn4pVwtf3bsah390U2stu79WUddv9WJyNtGy9njM4CUmGQgbyuEE2CFEdDE45JqqNcMVC/xNT0U5ZBIJWZtu/zByg7YDoL/sIzrz1XvsJx13448Y5ls52qZhkCS/HCjVpQpKhkNJKGjYxk4PhzorVUV7vLo6JMv7NzfWZpuc680rhub2bPb9HgK4K1dHhmtYrbQ+3sPN9L/lGcNuNArRcNs6OkW5Zwks+cXaYzINrhZCiUsiMPI1Hcl22aJUEN27NGiWdKGXvJhrNOWNmbDtRvF5LQd/H23SzC6qMK+gPKE2+cr/f1ehwDafGd+LKxO529SfL4wkJRyEDeRqP5Dqp4I4VfV2HgU5Jx+uJQNCSJOxWsH7yBdDKjE3X6ff0YdK6e6k/684qgv6u8jC+j5CiUkhpJa1HcrdUsHb8mPb77KAapkNjEBnGq0eJlxPFdFObnKpj5tZs1+eTHG7h7nYY9HfFwRKERKeQgRzIxibmV/mna8VqdzrcPnGiI4A5A1x9utEVTP2eMHasHzSOlNuzpfu9Md04qhUL92/6WFcvFKskgCCSHdH9tBDkd8XyeEKiU9hAnjRBfOl+PbO9grNujJzbd+5+fQDaUXRn3noPR8+aJQe7v4oTk6a+cnkfDo5uxMhdq7SvH8SD7sZPvgkzzJpWREL8YfdDhGtfGrQQKYlOeqY1/AqD7E6KTkztcXXf62Zyqo6xl893zOw04X7f3O/XjvWDxqHVReiQSEiWmLofMiNHOH02qKSTRKMo0xp+1Z26LDZOxjs6XMOB1y52FPXoGOi3sP+BDUY7Zn260WFztHEPs6YVkZBwMJAjGX3WHZyr/ZY28N1ZsbRyCdBtFzQFX6+M3KStmzT1HesH/S8O8Azippmpuhuk6RZk+8oZuAkJTyHth0kT15eus8598OEsrHK3xXC60QxclWqy7u3bukZbcl+xSlhhlfC4xtOt080B4KU33vb1bU9O1Y2tAGypKMwThQ5q4YREh4Ec8X3pusyzOa/QV5LAXQt1Qc9U9n5wdGPX5x/ZNgRAcH2m2b6ZPH7kHO5eCNKmA8s5pXx924eOXzbq617vkdc8UycsyyckHpRWEN+Xbso8G83gwxxMQU8nN+g0di8ZQ2dv1O9Xfy7gVQ3q9R6Z7JjOfZRFtHZJQkhwGMgXiKPPBpkO5EWYjFR3gBikv4tCsMIfXdD2KnTyws8rD7SeCI6erWPkrlUM5oREhNJKApikGWeXQC+ccy79MDlsgpT8K6Atx3j1cXETR3qye6nUqhXjTSSP8zsJKRIM5Alg0rL3P7Ah0Kg2u4NgkL4iXpZEv9cqS2ti0JWJ3Xj2oU2Bg3MSk3P8Dj5ZwUlIdCitJISXNGNLC7ZtUGcfDNpXxEvmsLVyLxnDbXUMei4Q1xroJz/RtUJIdFjZmQGmKksAeH7vZs+AGbQKdXKqjie+dV7rNw9TXZoUXk3CWMFJSDBMlZ2UVjLAK/v0k1iCyhyjwzXMG27SUWQM5+SjKL3C3VOKbI2eA44JiQ8z8gzwa2E70G+hf1lf7FL1JPq9mPbLLJqQ9GFGniPs7NTE9ZlmIgMWkhrAkcaMVEJIdBjIe4SfFDE6XAs8sT5q0EzCbQKwVzgheYeulR5gKtoBOishdZWPJnTDKYJgcpsE7cAIxOucSAjpPczIe0BQKUKXMVcr5iKipOZYhp2PmcaMVEJIdJiR94AwUoQ7Y/Y7CE1ijmXY+ZhpzUglhESDgbwHxB3iAHiPWIurTUfRvNkrnJD8EktaEZFDInJJRH4iIt8RkWpSGysycaUIZ38SHSWRyH5uIH7/dUJIvoirkX8fwKeUUp8G8HcAnoy/peKTlFtEd0MAgvUQD7suNW9CikssaUUp9brjw9MAfjfedhYPSUgRbm26FKNHi9e61LwJKTaJVXaKyGsAjiilXjR8/VEAjwLA0NDQlrfeeiuR111KmHq0CIArE7vT3g4hJGUiV3aKyA9E5Kea/77g+J6vAJgFcNi0jlLqBaXUiFJqZHAw2MBf0gm1bUKIDl9pRSn1Ga+vi8gfALgfwG+rLBq3LCF0BUTUtgkhsTRyEbkPwJcB/Gul1EwyWyImqG0TQnTE0shF5GcAlgP4h4VPnVZK/Se/n1vq3Q8JISQKJo08rmvlX8T5eUIIIfFhrxVCCCk4DOSEEFJwGMgJIaTgMJATQkjBYSAnhJCCk8nwZRG5BqBXNfofAfD3PVq7CPD6ef1L9fqXwrXfpZTqKo3PJJD3EhE5o/NZLhV4/bz+pXr9S/naKa0QQkjBYSAnhJCCsxgD+QtZbyBjeP1Lm6V8/Uv22hedRk4IIUuNxZiRE0LIkoKBnBBCCs6iDOQickhELonIT0TkOyJSzXpPaSIiXxSRiyIyLyJLwo4lIveJyGUR+ZmIjGe9nzQRkW+KyK9F5KdZ7yULRGSNiJwUkTcX/t7/56z3lDaLMpAD+D6ATymlPg3g7wA8mfF+0uanAB4E8MOsN5IGIlIG8GcA/h2AewDsE5F7st1Vqvw5gPuy3kSGzAJ4Qin1SQDbAPzhEvv9L85ArpR6XSk1u/DhaQAfz3I/aaOUelMpdTnrfaTIvQB+ppT6hVLqFoC/BPAFn59ZNCilfgjgvaz3kRVKqV8ppf5m4c//BOBNAEtqbNaiDOQu/j2A72W9CdJTagDednz8DpbYP2TSQkTuBjAM4I1sd5IusSYEZYmI/ADARzVf+opS6q8WvucraD12HU5zb2kQ5PqXEKL5HH21SwwRuQPAUQCPKaX+Mev9pElhA7lS6jNeXxeRPwBwP4DfVovQLO93/UuMdwCscXz8cQDvZrQXkgEiYqEVxA8rpV7Jej9psyilFRG5D8CXAXxeKTWT9X5Iz/kxgN8UkbUisgzA7wF4NeM9kZQQEQHwDQBvKqW+nvV+smBRBnIA/w3AbwD4voicE5H/nvWG0kREfkdE3gHwWwCOicjxrPfUSxYOtv8IwHG0Drq+pZS6mO2u0kNEXgLwfwGsE5F3ROQ/ZL2nlNkO4PcB7Fz4935ORD6X9abShCX6hBBScBZrRk4IIUsGBnJCCCk4DOSEEFJwGMgJIaTgMJATQkjBYSAnhJCCw0BOCCEF5/8DlE2gnQ8IA18AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=1000, n_features=2,\n",
    "centers=[[-1,-1], [0,0], [1,1], [2,2]],\n",
    "cluster_std=[0.4, 0.2, 0.2, 0.2],\n",
    "random_state =9)\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3116.1706763322227\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\sysu\\anaconda\\anacondaa\\lib\\site-packages\\sklearn\\utils\\deprecation.py:85: DeprecationWarning: Function calinski_harabaz_score is deprecated; Function 'calinski_harabaz_score' has been renamed to 'calinski_harabasz_score' and will be removed in version 0.23.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=2, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()\n",
    "#用Calinski-Harabasz Index评估二分类的聚类分数\n",
    "print(metrics.calinski_harabaz_score(X, y_pred))\n",
    "#Calinski-Harabasz Index对应的方法是metrics.calinski_harabaz_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2931.625030199556\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\sysu\\anaconda\\anacondaa\\lib\\site-packages\\sklearn\\utils\\deprecation.py:85: DeprecationWarning: Function calinski_harabaz_score is deprecated; Function 'calinski_harabaz_score' has been renamed to 'calinski_harabasz_score' and will be removed in version 0.23.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "y_pred = KMeans(n_clusters=3, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()\n",
    "print(metrics.calinski_harabaz_score(X, y_pred))\n",
    "#用Calinski-Harabasz Index评估三分类的聚类分数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5924.050613480169\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\sysu\\anaconda\\anacondaa\\lib\\site-packages\\sklearn\\utils\\deprecation.py:85: DeprecationWarning: Function calinski_harabaz_score is deprecated; Function 'calinski_harabaz_score' has been renamed to 'calinski_harabasz_score' and will be removed in version 0.23.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "y_pred = KMeans(n_clusters=4, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()\n",
    "print(metrics.calinski_harabaz_score(X, y_pred))\n",
    "#用Calinski-Harabasz Index评估四分类的聚类分数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
